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11945088 = 273210369
BaseRepresentation
bin101101100100…
…010010000000
3211110212120200
4231210102000
511024220323
61104005200
7203350221
oct55442200
924425520
1011945088
116819581
124000800
132622ccc
14182d248
1510ae443
hexb64480

11945088 has 48 divisors (see below), whose sum is σ = 34376550. Its totient is φ = 3981312.

The previous prime is 11945083. The next prime is 11945093. The reversal of 11945088 is 88054911.

It is an interprime number because it is at equal distance from previous prime (11945083) and next prime (11945093).

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 166464 = 3432^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11945083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4033 + ... + 6336.

Almost surely, 211945088 is an apocalyptic number.

11945088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11945088 is an abundant number, since it is smaller than the sum of its proper divisors (22431462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11945088 is a wasteful number, since it uses less digits than its factorization.

11945088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11945088 is about 3456.1666626481. The cubic root of 11945088 is about 228.5931003261.

Adding to 11945088 its reverse (88054911), we get a palindrome (99999999).

The spelling of 11945088 in words is "eleven million, nine hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10369 20738 31107 41476 62214 82952 93321 124428 165904 186642 248856 331808 373284 497712 663616 746568 995424 1327232 1493136 1990848 2986272 3981696 5972544 11945088